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A finite element method for the axisymmetric flow computation in a turbomachine
Author(s) -
Hirsch Ch.,
Warzee G.
Publication year - 1976
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620100108
Subject(s) - finite element method , turbomachinery , convergence (economics) , mixed finite element method , rotational symmetry , mathematics , computation , mathematical analysis , flow (mathematics) , extended finite element method , relaxation (psychology) , physics , mechanics , geometry , algorithm , economics , thermodynamics , economic growth , psychology , social psychology
The equations for the meridional through‐flow in a turbomachine are formulated as a quasi‐harmonic non‐linear equation. This equation is then solved iteratively by the finite element method and in order to obtain convergence an under‐relaxation factor has to be introduced. Comparisons with experimental results in single and multistage axial compressors show very good agreement. The finite element method is thus shown to be an efficient tool for this type of problem.